Question

cho t:x=4:3; y:z=3:2; z:x=1:6 khi đó

t:y=?

Answer 1

\(\frac{t}{x}=\frac{4}{3}\Rightarrow\frac{t}{4}=\frac{x}{3}\Rightarrow t=\frac{4x}{3}\)

\(\frac{z}{x}=\frac{1}{6}\Rightarrow\frac{z}{1}=\frac{x}{6}\Rightarrow z=\frac{x}{6}\)

\(\frac{y}{z}=\frac{3}{2}\Rightarrow\frac{y}{3}=\frac{z}{2}\Rightarrow y=\frac{3z}{2}\)

\(\Rightarrow\frac{t}{y}=\frac{\frac{4x}{3}}{\frac{3z}{2}}=\frac{4x}{3}\cdot\frac{2}{3z}=\frac{8x}{9z}=\frac{8x}{9\cdot\frac{x}{6}}=\frac{8x}{\frac{3x}{2}}=8x\cdot\frac{2}{3x}=\frac{16}{3}\)